Answer:
2 • (x - 20) • (x + 5) • (x + 40)
Step-by-step explanation:
Final answer:
To solve the equation (x-20) (2x+10) (x+40)=0, we set each factor equal to zero and solve for x, resulting in three solutions: x = 20, x = -5, and x = -40.
Explanation:
To find the value of x in the equation (x-20) (2x+10) (x+40) = 0, we need to use the property that if a product of factors equals zero, at least one of the factors must be zero. This gives us three separate equations to solve: x - 20 = 0, 2x + 10 = 0, and x + 40 = 0.
Step-by-Step Solution:
Solve x - 20 = 0: Add 20 to both sides, which gives x = 20.
Solve 2x + 10 = 0: Subtract 10 from both sides and then divide by 2, giving x = -5.
Solve x + 40 = 0: Subtract 40 from both sides, which gives x = -40.
Therefore, the solutions to the equation are x = 20, x = -5, and x = -40.
What was the mean high temperature in may for each city, rounded to the nearest degree?
Pls answer fast whoever answers first will be mark the brainliest ❗❗
Answer:1st one:87
2nd one:85 i think this is right
All fleece jackets are 30% off of the original price at Mike's Outdoor Store. You have a coupon for 15% off any item to shop with. How much does a $100 fleece jacket cost after the sale and the coupon? (Show Work.)
A: $59.50
B: $70.00
C: $130.00
Answer:
A
Step-by-step explanation:
30% of 100 = 30
100 - 30 = 70
15% of 70 = 10.5
70 - 10.5 = 59.5
James says that all numbers have
an even number of factors.
Is he correct?
Yes or no and why
Answer:
No
Step-by-step explanation:
B cause only numbers that have a perfect square are even number of factors.
For example
[tex]25 = 5 .1.25[/tex]
But,
[tex]16 = 1 .2.16.8.4[/tex]
Hence, 16's number of factors is more than 25
Brainliest would be appreciated :))
Morgan babysits every Saturday. The equation d = 9.5h
represents how much she earns after h hours. Last week,
she also babysat on Friday and earned $63 for 6 hours.
Which statement is true?
A. Morgan earns the same amount per hour on Friday and Saturday.
B. Morgan’s hourly rate on Friday $12 per hour.
C. Morgan earns more money per hour on Friday.
D. Morgan earns more money per hour on Saturday.
Answer:
Morgan earns more money per hour on Friday.
Step-by-step explanation:
Using the equation d= 9.5h, we see that the hourly rate for Saturday is 9.5, which is $9.50.
On Friday, she babysits 6 hours and earns $63. This is an hourly rate of 63/6 = 10.5, or $10.50.
She earns more money on Friday.
The statement that is true is C. Morgan earns more money per hour on Friday.
From the information given, Morgan babysits every Saturday and the equation is given as d = 9.5hLast week, she also babysat on Friday and earned $63 for 6 hours. This means the rate will be 63/6 = $10.5Therefore, based on this, we can see that the rate on Friday is better.Therefore, Morgan earns more money per hour on Friday.
Read related link on:
https://brainly.com/question/12620009
n the Present Value of an Ordinary Annuity formula, what does the n represent?
a.
nominal interest rate
c.
number of periods
b.
number of payments
d.
decimal number of percentage
update: got the answer... it is c.
Answer:
C, number of periods
Step-by-step explanation:
ed2022
Final answer:
The 'n' in the annuity formula stands for Option C. the total number of payments or periods, essential for calculating the present value of equally spaced payments over time.
Explanation:
The letter 'n' in the Present Value of an Ordinary Annuity formula represents the total number of payments or periods over which the payments are made. When calculating the present value of an annuity, the formula accounts for each payment being discounted by the interest rate per period. Therefore, the present value of an annuity is calculated by summing up the values of all the payments, each discounted back to their present value.
An example of using the formula could relate to calculating the present value of a series of fixed mortgage payments over time. If the monthly interest rate is 'r', and there are 'n' total payments (for instance, 360 payments for a 30-year mortgage), the present value would account for each payment by discounting it over the number of periods to reflect the time value of money.
Find the area of the rhombus.
A=
square units
Answer: A=70 square units
Step-by-step explanation:
The area of a triangle can be found using the formula [tex]A=\frac{1}{2} bh[/tex]
Let 5=h and 7=b
Plug in the values and solve
[tex]A=\frac{1}{2} (7)(5)[/tex]
[tex]A=17.5[/tex]
However, since four of these triangles make up this rhombus, we can multiply the area of one of these triangles by four to find the area of the whole rhombus.
[tex]A=17.5*4[/tex]
[tex]A=70[/tex]
Free Brainliest for the correct answer!!!!
Step-by-step explanation: the 1st answer
Answer:
It’s 8 1/6
Step-by-step explanation:
Find the value of x. The diagram is not to scale. Explain your reasoning.
Answer:
x = 24
Step-by-step explanation:
Since SR = ST then Δ RST is isosceles, thus the base angles are congruent.
∠ SRT = ∠ STR = 4x - 60
∠ STR and ∠ STU are adjacent and supplementary, thus
∠ STR + ∠ STU = 180, substitute values
4x - 60 + 6x = 180, that is
10x - 60 = 180 ( add 60 to both sides )
10x = 240 ( divide both sides by 10 )
x = 24
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer:
x + y=24
x=24-y = 3x+5y=100
3(24-y)+5y=100
72-3y+5y=100
72+2y=100
2y=28
y=14, since x=24-y
x=10
So there are 10 3-point questions and 14 5-point questions.
Answer:
the answer is B
Step-by-step explanation:
150 increased by 40%
Answer:
210
Step-by-step explanation:
Multiply 150 by 40% (0.4) and then add that to the initial value (150)
150x0.4=60
150+60=210
I did the math and it ended up being 210. You just take 40 percent of 150 and add it to 150.
OMG 25 POINTS!!!! HURRY AND GET SOME BRAINLIEST But MAKE SURE ANSWER IS RIGHT OR ILL REPORT YOU!!!!
Which statement best describes the association between variable X and variable Y?
moderate positive association
perfect positive association
moderate negative association
perfect negative association
The correct answer is the fourth option.
Given is a scatter graph with points marked on the graph. The x axis shows the dependent variable and y axis the independent variable
From the graph we see that there seems to be a linear relationship but not fully perfect. Because so many points deviate from the line we can only say that there is a moderate association.
Whenever x increases y increases also the linear regression line of fit has a positive scope.
Hence there is a positive association between variable x and variable Y.
Factor the quadratic by checking factor pairs.
-15x2 – 21x + 18
-15x2 – 218 + 19 = -3
Answer:
-3(x + 2)(5x - 3)
Step-by-step explanation:
-15x² – 21x + 18
-3(5x² + 7x - 6)
-3[5x² + 10x - 3x - 6]
-3[5x(x + 2) - 3(x + 2)]
-3(x + 2)(5x - 3)
four whole numbers are rounded to the nearest 10.the sum of the rounded numbers is 90.what is the maximum possible sum of the original four numbers?
Answer:
106
Step-by-step explanation:
numbers are 24, 24, 24, 34
24 + 24 + 24 + 34 = 106
A Sphere has a diameter of 20 centimeters.What would be the volume of the sphere?
Answer:4189.33cm^3
Step-by-step explanation:
To find the volume of a sphere of diameter 20cm
Volume of a sphere=4/3πr^3
R=20/2
R=10cm
V=4/3×3.142×(10cm)^3
V=4189.333cm^3
Side AB of rectangle ABCD is contained within the line y = 2x - 7. What is the slope of the adjacent side, BC?
A. 1/2
B. -2
C. -1/2
D. 2
56/15 as a decimal rounded to the nearest tenth
The decimal of 56/15 as rounded to the nearest tenth is 3.7.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
On dividing 56 /15 we get
56 / 15 = 3.7333333333333
The round nearest to5 is taken as value 1 and less than 5 is taken as value 0.
So, The round to the nearest tenth is 3.7
Therefore, 56/15 as a decimal rounded to the nearest tenth is 3.7.
To know more about division:
https://brainly.com/question/27566440
#SPJ3
Final answer:
To convert 56/15 to a decimal and round to the nearest tenth, you divide 56 by 15 to get 3.7333 and then round it down to 3.7 since the hundredths place is less than 5.
Explanation:
The question is asking to convert the fraction 56/15 to a decimal and round it to the nearest tenth. To convert a fraction to a decimal, you need to divide the numerator by the denominator. In this case, divide 56 by 15. The decimal form of 56/15 is approximately 3.7333. When rounding this number to the nearest tenth, we look at the hundredths place, which is a 3. Since it's less than 5, we do not round up. Therefore, the decimal rounded to the nearest tenth is 3.7.
How do you set up this equation ?
Given:
Quadrilateral PQRS is a rhombus.
To find:
The value of y.
Solution:
In the rhombus PQRS,
PS = 10y and SR = y + 45
Property of rhombus:
All sides are congruent.
⇒ PS = SR
⇒ 10y = y + 45
Subtract y from both sides.
⇒ 10y - y = y + 45 - y
⇒ 9y = 45
Divide by 9 on both sides.
[tex]$\Rightarrow \frac{9y}{9} =\frac{45}{9}[/tex]
⇒ y = 5
The value of y is 5.
Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Penny drives a truck. The function p = 20h + 75 represents her daily pay, in dollars, for working h hours. She travels 60 miles each hour. She also receives $0.10 for each bonus mile she drives. The function b = 60h × (0.10) represents the amount she earns for her bonus. Which function represents Penny's earnings, P, for driving h hours?
Answer:
Penny's earning for driving h hours is represented by the function
P = 26h + 75
Step-by-step explanation:
- The function p = 20h + 75 represents her daily pay
- The function b = 60h × (0.10) represents the amount she earns for her bonus.
Penny's earnings is the addition of her daily pay and bonus.
It is represented by the function P.
P = (20h + 75) + 60h × 0.10
Simplifying this, we have
P = 20h + 75 + 6h
= 26h + 75
The discount store is having a big sale. Paper towels are two rolls for 1 dollar. Disposable diapers are 3 dollars a box. If Serena buys 2 rolls of paper towels and 2 boxes of diapers, how much change will she get from a 20-dollar bill?
Answer:
She would get $13 back.
Step-by-step explanation:
2 rolls: $1
A box of diapers: $3
She got 2 paper towels which she would get for a dollar.
2 boxes of diapers:
3 + 3 = 6
20 - 6 = 14
14 - 1 = 13
Feel free to let me know if you need more help! :)
Answer: She would get $13 back.
I need help The table displays the mean for seven random samples which value is the best estimate of the mean of the population
Answer:
The mean is every number added divided by the number of the numbers, so in your case would be all the populations added divided by 7
A line passes through the point (-8,-2) and has a slope of -
Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
hello :
the slope-intercept form is : y-(-2) = m(x-(-8)) when : m is the slope
Please help with the answer
The area of the circle is 201.1 sq cm. Option B
Step-by-step explanation:
Given,
The radius (r) of the circle = 8 cm
To find the area of the circle.
Formula
Area of the circle = πr²
So,
Area = [tex]\frac{22}{7} X8^{2}[/tex] sq cm
= 201.14 sq cm = 201.1 sq cm
Hence,
The area of the circle is 201.1 sq cm.
The formula for the circumference C of a circle with diameter d is C = xd. Write an expression to represent the circumference of the following circle
The circumference of a circle is calculated based on its diameter using the formula C = πd. Replace 'd' with the value of the circle's diameter to obtain an expression representing the circumference.
Explanation:The formula for the circumference C of a circle with a diameter d is given by C = πd, where π (Pi) is approximately 3.14. To write an expression to represent the circumference of a specific circle, simply replace the term 'd' with the actual diameter of the circle. For example, if the diameter of the circle is 10 units, then the expression for the circumference would be C = π * 10 or C = 3.14 * 10, hence the circumference C of the circle would be about 31.4 units.
Learn more about Circumference of a Circle here:https://brainly.com/question/31844715
#SPJ3
What is the product of (3x-9) and 6x^2-2x+5? Write your answer in standard form.
a) Show your work.
b) Is the product of (3x-9) and 6x^2-2x+5 equal to the product of (9x-3) and 6x^2-2x+5? Explain your answer.
Answer:
The product of [tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex] is [tex]18x^3 -60x^2 + 33x - 45[/tex]No, they are not equalStep-by-step explanation:
a. Given
[tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex]
Required
Product
The solution is as follows
First, put both expression in different brackets
[tex](3x-9)(6x^2-2x+5)[/tex]
Expand [tex](6x^2-2x+5)[/tex] bracket by [tex](3x-9)[/tex]
To do that. we first multiply [tex](6x^2-2x+5)[/tex] by 3x then by -9. This is done as follows
[tex]3x (6x^2-2x+5) - 9(6x^2-2x+5)[/tex]
Now, we proceed to opening the bracket
[tex](3x * 6x^2-3x * 2x+3x *5) - (9* 6x^2-9* 2x+9* 5)[/tex]
[tex](18x^3 -6x^2+ 15x) - (54x^2 - 18x +45)[/tex]
Open both brackets
[tex]18x^3 -6x^2+ 15x -54x^2 + 18x -45[/tex]
Collect like terms
[tex]18x^3 -6x^2 -54x^2 + 15x + 18x -45[/tex]
[tex]18x^3 -60x^2 + 33x - 45[/tex]
Hence, the product of [tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex] is [tex]18x^3 -60x^2 + 33x - 45[/tex]
b. Given
[tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex][tex]9x-3[/tex] and [tex]6x^2-2x+5[/tex]Required
Are their products equal?
To check if they are equal or not, we find the product of both and compare the solutions
We've already solved for [tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex] in the (a) part of this exercise, so we move to the product of [tex]9x-3[/tex] and [tex]6x^2-2x+5[/tex]
The solution is as follows
First, put both expression in different brackets
[tex](9x-3)(6x^2-2x+5)[/tex]
Expand [tex](6x^2-2x+5)[/tex] bracket by [tex](9x-3)[/tex]
To do that. we first multiply [tex](6x^2-2x+5)[/tex] by 9x then by -3. This is done as follows
[tex]9x (6x^2-2x+5) - 3(6x^2-2x+5)[/tex]
Now, we proceed to opening the bracket
[tex](9x * 6x^2 - 9x * 2x + 9x *5) - (3* 6x^2 - 3 * 2x + 3* 5)[/tex]
[tex](54x^3 - 18x^2+ 45x) - (18x^2 - 6x +15)[/tex]
Open both brackets
[tex]54x^3 - 18x^2+ 45x -18x^2 + 6x -15[/tex]
Collect like terms
[tex]54x^3 - 18x^2 -18x^2 + 45x + 6x -15[/tex]
[tex]54x^3 - 36x^2 + 51x -15[/tex]
Now, we compare both answers
Is
[tex]18x^3 -60x^2 + 33x - 45[/tex]
equal to
[tex]54x^3 - 36x^2 + 51x -15[/tex]
No, they're not.
Reason is that, for both expressions to be equal, we must have the same expression after expanding both of them
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the equation below.
–2(bx - 5) = 16
The value of xin terms of b is
The value of x when bis 3 is
Answer:
If b is 3, x=-1
Step-by-step explanation:
-2(3x-5)=16
use distributive property
-6x+10=16
take 10 away from both sides
-6x=6
divide both sides by -6
x=-1
The value of x in terms of b is given by equation x = -3/b
The value of x when b = 3 , is x = -1
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The given equation is:
-2(bx - 5) = 16
To solve for x in terms of b, we need to isolate x on one side of the equation. We can start by distributing the -2 on the left-hand side:
-2bx + 10 = 16
Next, we can subtract 10 from both sides:
-2bx = 6
Finally, we can divide both sides by -2b to solve for x:
x = -3/b
So the value of x in terms of b is -3/b.
To find the value of x when b is 3, we can substitute b = 3 into the equation we just found:
x = -3/b = -3/3 = -1
Hence , the equation is solved and when b is 3, the value of x is -1.
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ7
The diagram below shows triangle MNR with ray NM. Triangle M N R. Angle N is 97 degrees. Side N M extends to form an exterior angle of M with a measure of 115 degrees. What is the measure of Angle M R N? 3° 5° 18° 28°
Answer:
18 degrees.
Step-by-step explanation:
115-97=18
The calculated measure of the angle MRN is 18 degrees
Calculating the measure of Angle MRN?From the question, we have the following parameters that can be used in our computation:
Triangle = MNR
Angle N = 97 degrees
From the attached figure
Segment NM is an extension from the exterior angle of M
By the sum of opposite interior angles of triangle, we have
MRN + ∠N = 115 degrees
This means that
MRN + 97 = 115 degrees
Subtract 97 from both sides
MRN = 18 degrees
Hence, the measure of the angle MRN is 18 degrees
Read more about angle at
https://brainly.com/question/25716982
#SPJ1
1) Circle the equation that is NOT an example of direct variation.
A) y= 3 X+1
B)y= 16x
C) y = 4x
D) y=-9x
Answer:
A) y= 3 X+1
Step-by-step explanation:
A direct variation is of the form
y = kx
A) y= 3 X+1 not a direct variation since we add 1 to it
B)y= 16x direct variation
C) y = 4x direct variation
D) y=-9x direct variation
Answer:
The answer is A) y= 3 X+1
Step-by-step explanation:
I broke it down on paper.
Which blood type is independent of gender? A O B AB
blood type A is independent
Define negative integer. Give an example of a negative
integer and then give its opposite.
Answer:
integers that are less than 0
-4 and 4
Step-by-step explanation: